Transient Response of First- and Second-Order Networks
The response of networks containing only resistances and sources has been shown to be constant and time invariant. The response of networks containing capacitances and inductances is time varying because of the time necessary for the exchange of energy between capacitive and inductive elements. Expressed in terms of volt-ampere equations, the volt-ampere equations of capacitive and inductive elements are time variant whilst that of resistance is constant. Equations resulting from the application of Kirchhoff’s laws to circuits containing resistance, capacitance and inductance elements must also, therefore, be time varying and they are seen to be of the particular mathematical type known as linear differential equations with constant coefficients. It is with the physical interpretation of the solutions of this type of equation that this chapter is particularly concerned.
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